De Lellis, C; Westdickenberg, M (2003). On the optimality of velocity averaging lemmas. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 20(6):1075-1085.
tudying weak solutions of Burgers' equation with finite entropy dissipation we show the sharpness of recent results of Jabin and Perthame on velocity averaging. Similar arguments give bounds on the regularity of asymptotic finite-energy states for some variational problems of Ginzburg–Landau type.
tudying weak solutions of Burgers' equation with finite entropy dissipation we show the sharpness of recent results of Jabin and Perthame on velocity averaging. Similar arguments give bounds on the regularity of asymptotic finite-energy states for some variational problems of Ginzburg–Landau type.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Mathematical Physics Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Kinetic equations, Velocity averaging, Regularity |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | Elsevier |
| ISSN: | 0294-1449 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1016/S0294-1449(03)00024-6 |
| Related URLs: | http://www.numdam.org/item?id=AIHPC_2003__20_6_1075_0 |
De Lellis, C